Stochastic determinism for capturing the transition point from laminar flow to turbulence

Stochastic determinism for capturing the transition point from laminar flow to turbulence
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用于捕获从层流到湍流的过渡点的随机决定论

DOI:
10.1007/s13160-011-0033-1
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发表时间:
2011
影响因子:
0.9
通讯作者:
Hiromu Shimiya
Hiromu Shimiya
中科院分区:
数学4区
文献类型:
--
作者:
K. Naitoh;Hiromu Shimiya

文献摘要

被引文献

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直到今天,通道中从层流到湍流的转变仍然是许多不同现象的重要方面,例如血液流动,微流体和层流翼型。尽管许多研究者进行了尝试,但没有一种计算流体动力学方法可以直接模拟大范围雷诺数下的空间转捩点。以前的研究只捕捉到了时间上的转变。在这份报告中,我们提出了第一个成功的模拟的过渡点在三维空间中使用的随机决定论方法的基础上,系统的评价分子的不连续性和适当的控制数值误差,虽然结果是不定量的。
To this day, the transition from laminar flow to turbulence in channels is still an important aspect of many different phenomena such as blood flows, micro-fluidics, and laminar airfoils. Although a lot of researchers have tried, no methods of computational fluid dynamics can directly simulate the transition point in space for a wide range of Reynolds numbers. Previous research studies have captured only the transition in time. In this report, we present the first successful simulation of the transition point in three-dimensional space using a stochastic determinism approach based on a systematic evaluation of molecular discontinuity and proper control of numerical errors, although the results are not quantitative.